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198064705 = 51721131213
BaseRepresentation
bin10111100111000…
…11101001000001
3111210200201200211
423303203221001
5401201032310
631353114121
74623344056
oct1363435101
9453621624
10198064705
11a1890a43
12563b8941
133205a467
141c43b02d
15125c5c8a
hexbce3a41

198064705 has 24 divisors (see below), whose sum is σ = 254925432. Its totient is φ = 147689472.

The previous prime is 198064703. The next prime is 198064717. The reversal of 198064705 is 507460891.

198064705 = 99512 + 99522.

198064705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 99022401 + 99042304 = 9951^2 + 9952^2 .

It is not a de Polignac number, because 198064705 - 21 = 198064703 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198064703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162679 + ... + 163891.

It is an arithmetic number, because the mean of its divisors is an integer number (10621893).

Almost surely, 2198064705 is an apocalyptic number.

198064705 is the 9952-nd centered square number.

It is an amenable number.

198064705 is a deficient number, since it is larger than the sum of its proper divisors (56860727).

198064705 is a wasteful number, since it uses less digits than its factorization.

198064705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 198064705 is about 14073.5462837197. The cubic root of 198064705 is about 582.9111515760.

The spelling of 198064705 in words is "one hundred ninety-eight million, sixty-four thousand, seven hundred five".

Divisors: 1 5 17 85 113 289 565 1213 1445 1921 6065 9605 20621 32657 103105 137069 163285 350557 685345 1752785 2330173 11650865 39612941 198064705